What is the Greatest Common Factor of 28749 and 28754?

Greatest common factor (GCF) of 28749 and 28754 is 1.

GCF(28749,28754) = 1

We will now calculate the prime factors of 28749 and 28754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28749 and 28754.

How to find the GCF of 28749 and 28754?

We will first find the prime factorization of 28749 and 28754. After we will calculate the factors of 28749 and 28754 and find the biggest common factor number .

Step-1: Prime Factorization of 28749

Prime factors of 28749 are 3, 7, 37. Prime factorization of 28749 in exponential form is:

28749 = 3¹ × 7¹ × 37²

Step-2: Prime Factorization of 28754

Prime factors of 28754 are 2, 11, 1307. Prime factorization of 28754 in exponential form is:

28754 = 2¹ × 11¹ × 1307¹

Step-3: Factors of 28749

List of positive integer factors of 28749 that divides 28749 without a remainder.

1, 3, 7, 21, 37, 111, 259, 777, 1369, 4107, 9583

Step-4: Factors of 28754

List of positive integer factors of 28754 that divides 28749 without a remainder.

1, 2, 11, 22, 1307, 2614, 14377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28749 and 28754. The biggest common factor number is the GCF number.
So the greatest common factor 28749 and 28754 is 1.

Also check out the Least Common Multiple of 28749 and 28754